241553664 has 216 divisors, whose sum is σ = 790144992. Its totient is φ = 72990720.

The previous prime is 241553657. The next prime is 241553671. The reversal of 241553664 is 466355142.

241553664 is a `hidden beast` number, since 2 + 41 + 553 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (241553657) and next prime (241553671).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684112 + ... + 684464.

Almost surely, 2^241553664 is an apocalyptic number.

241553664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395072496).

241553664 is an abundant number, since it is smaller than the sum of its proper divisors (548591328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241553664 is an equidigital number, since it uses as much as digits as its factorization.

241553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 241553664 is about 15541.9967829105. The cubic root of 241553664 is about 622.7846165468.

The spelling of 241553664 in words is "two hundred forty-one million, five hundred fifty-three thousand, six hundred sixty-four".